What is the Least Common Multiple of 85156 and 85168?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 85156 and 85168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85156 and 85168, than apply into the LCM equation.

GCF(85156,85168) = 4
LCM(85156,85168) = ( 85156 × 85168) / 4
LCM(85156,85168) = 7252566208 / 4
LCM(85156,85168) = 1813141552

Least Common Multiple (LCM) of 85156 and 85168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85156 and 85168. First we will calculate the prime factors of 85156 and 85168.

Prime Factorization of 85156

Prime Factorization of 85168

Now multiplying the highest exponent prime factors to calculate the LCM of 85156 and 85168.

LCM(85156,85168) = 2⁴ × 61¹ × 349¹ × 5323¹
LCM(85156,85168) = 1813141552